Generalization of Dunkl Dini Lipschitz Functions
Abstract
Using a generalized spherical mean operator, we obtain a generalization of Younis’s Theorem 5.2 in [12] for the Dunkl transform for functions satisfying the d-Dunkl Dini Lipschitz condition in the space Lp(Rd,wl(x)dx), 1 < p ≤ 2, where wl is a weight function invariant under the action of an associated reflection group.Â
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2017-04-20
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Mathematical Analysis
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How to Cite
Generalization of Dunkl Dini Lipschitz Functions. (2017). European Journal of Pure and Applied Mathematics, 10(3), 544-551. https://ejpam.com/index.php/ejpam/article/view/2627